Question

solve the inequality and graph the solution on the line provided.

2x - 20 < -14

answer

inequality notation:

number line:

Explanation:

Step1: Add 20 to both sides

$$\begin{align*} 2x-20 + 20&<-14 + 20\\ 2x&<6 \end{align*}$$

Step2: Divide both sides by 2

$$\begin{align*} \frac{2x}{2}&<\frac{6}{2}\\ x&<3 \end{align*}$$

Answer:

Inequality Notation: \(x < 3\)

For the number - line: Draw an open circle at \(x = 3\) (because the inequality is strict, i.e., \(x
eq3\)) and shade the line to the left of \(3\) (since \(x\) is less than \(3\)).